advanced_tools:bianchi_identities

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advanced_tools:bianchi_identities [2019/01/16 13:34] 129.13.36.189 [Abstract] |
advanced_tools:bianchi_identities [2019/01/16 13:35] jakobadmin [Abstract] |
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In general relativity, the Bianchi identity | In general relativity, the Bianchi identity | ||

$$ \nabla R = \nabla \nabla \theta =0 $$ | $$ \nabla R = \nabla \nabla \theta =0 $$ | ||

- | roughly says "that the sum over a closed two-dimensional surface of rotations induced by Riemannian curvature is equal to zero." (Source) | + | roughly says "that the sum over a closed two-dimensional surface of rotations induced by Riemannian curvature is equal to zero. [...] Geometrically this means that the density of the moment of rotation induced by Riemannian curvature is equal to zero automatically." ([[https://link.springer.com/article/10.1007%2FBF01882731|Source]]) |

<tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||

<blockquote> | <blockquote> |

advanced_tools/bianchi_identities.txt · Last modified: 2019/01/16 13:35 by jakobadmin

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